IIT JEE , AIEEE Forum - Physics , Electricity

harsha_27

superposition principle is simple........

imagine the voltage V to be applied across the points A and B.then V=IR=I₀R₀,where I is the current carried by the lead wires ,I₀ is the current carried by the conductor AB
the current I₀ can be represented as a superposition of two currents .If the current I flowed into point A and spread all over the infimite grid,the conductor AB would carry (because of symmetry) the current I/4.similarly if the current I flowed into the grid from infinity and left the grid through point B the conductor AB would also carry the current I/4.Superimposing both of these solutions we obtain I₀=I/2.therefore R=R₀/2
this is the method given in I.E. IRODOV

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